SOLUTION: Kevin and Alex are Christmas shopping for their families. Kevin buys 4 shirts and 6 hats and spends $62. Alex buys 4 shirts and 2 hats and spends $34. Find the price for each shir

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Question 1155093: Kevin and Alex are Christmas shopping for their families. Kevin buys 4 shirts and 6 hats and spends $62.
Alex buys 4 shirts and 2 hats and spends $34. Find the price for each shirt and hat.

1)Price Of Shirts?
2)Price Of Hats?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39613)   (Show Source):
You can put this solution on YOUR website!
typical example of a two-variable two linear equations, system

x price of shirt
y price of hat

and this description allows easy elimination of the x to quickly find y.

Answer by ikleyn(52754)   (Show Source):
You can put this solution on YOUR website!
.

If you read the condition ATTENTIVELY, you IMMEDIATELY will see that the difference in their buyings is 6 - 2 = 4 hats, and the difference in their spendings is 62 - 34 = 28. Hence, one hat price is 28/4 = 7 dollars. From this point, YOU do the rest ON YOUR OWN.

Learn on how to solve such problems   M E N T A L L Y.

This problem is designed and destined to be solved mentally;
it is the main reason why it was created and why it was given to you.

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To see many other similar problems solved, look into the lesson
    - Solving mentally word problems on two equations in two unknowns
in this site.

Also, you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".

Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.